{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Disambiguating Advection and KdV\n",
    "\n",
    "Any single soliton travelling wave solution of the KdV equation (1) also solves the advection equation with $c$ depending on the speed of translation, which for KdV depends on the amplitude.  However, if two waves have different amplitudes and speeds, they may both solve the KdV equation but will not solve the same advection equation.\n",
    "\n",
    "\\begin{align}\n",
    "u_t &+ 6uu_x + u_{xxx} = 0 \\hspace{2cm} (1)\\\\\n",
    "u_t &+ cu_x = 0\\hspace{3.5cm} (2)\n",
    "\\end{align}\n",
    "\n",
    "Here we show that looking at a single travelling wave solution, we recover the advection equation (at least for the two amplitudes shown), but when we look at both we get the KdV equation.  Observing that waves with different amplitudes travel at different rates indicates the need for nonlinearity in the evolution equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "from PDE_FIND import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate a few solutions to each equation\n",
    "\n",
    "For any $c$, the function below is a very simple closed form solution to the KdV and advection equations.  However, it always solves the KdV equation regardless of the choice of $c$ while solutions with different values of $c$ will each solve an advection equation but they won't be the same one."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Soliton solution to KdV/advection equations\n",
    "def soliton(x,t,c,a):\n",
    "    return c/2*np.cosh(np.sqrt(c)/2*(x-c*t-a))**-2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "c1 = 5.0\n",
    "c2 = 1.0\n",
    "n = 256\n",
    "m = 50\n",
    "x = linspace(-10, 12, n)\n",
    "dt = 0.025\n",
    "dx = x[1]-x[0]\n",
    "t = linspace(dt,m*dt,m)\n",
    "\n",
    "U1 = np.zeros((n,m))\n",
    "U2 = np.zeros((n,m))\n",
    "\n",
    "for i in range(n):\n",
    "    for j in range(m):\n",
    "        U1[i,j] = soliton(x[i],t[j],c1,-3)\n",
    "        U2[i,j] = soliton(x[i],t[j],c2,-1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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qsXDYiVS7JR5epJbLZeTz+dRfPOISx0Feh6DjZuPsjBbpXmYurKqqVA/rk++uvxWF9Tx+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jFaNC0gyXGyYdO4RMt2+2frvJCS1TljHOIY1jw1rWNOgkUgx41OBuvLyZzDiZqNUwWNnpuNcmBX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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f828c1b0d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, T = np.meshgrid(x, t)\n",
    "fig1 = figure()\n",
    "ax = fig1.gca(projection='3d')\n",
    "surf = ax.plot_surface(X, T, U1.T, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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n8iisSmJVorpLlMmH5Vv6sb9plk5F+bD7h+p6vlgsUoMyCDEkqztIVlLZRVEk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\nxbAZtUdfVmB/8Rd/EX/3d3+H3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shS/ajaEADV7Z/p566al1rm8Ff3qToalcpLpaqpZVXU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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8286910a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X, T = np.meshgrid(x, t)\n",
    "fig1 = figure()\n",
    "ax = fig1.gca(projection='3d')\n",
    "surf = ax.plot_surface(X, T, U2.T, rstride=1, cstride=1, cmap=cm.coolwarm,\n",
    "    linewidth=0, antialiased=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Look at the solutions individually\n",
    "\n",
    "For each of the travelling waves, we get an advection equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge with L0 penalty\n",
      "u_t = (-4.981273 -0.000000i)u_{x}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# First look at the soliton with speed = 5\n",
    "Ut1, R1, rhs_des1 = build_linear_system(U1, dt, dx, D=3, P=2, time_diff = 'FD', space_diff = 'FD')\n",
    "lam = 10**-5\n",
    "d_tol = 5\n",
    "\n",
    "w = TrainSTRidge(R1,Ut1,lam,d_tol)\n",
    "print \"PDE derived using STRidge with L0 penalty\"\n",
    "print_pde(w, rhs_des1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge with L0 penalty\n",
      "u_t = (-1.000820 -0.000000i)u_{x}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# Now with speed 1\n",
    "Ut2, R2, _ = build_linear_system(U2, dt, dx, D=3, P=2, time_diff = 'FD', space_diff = 'FD')\n",
    "\n",
    "w = TrainSTRidge(R2,Ut2,lam,d_tol)\n",
    "print \"PDE derived using STRidge with L0 penalty\"\n",
    "print_pde(w, rhs_des1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Both solutions $\\rightarrow$ KdV\n",
    "\n",
    "Taking the two linear systems and simply stacking them so that we're looking for a PDE that accuractely reflects the dynamics of each yields the KdV equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PDE derived using STRidge with L0 penalty\n",
      "u_t = (-6.073982 +0.000000i)uu_{x}\n",
      "    + (-1.039532 +0.000000i)u_{xxx}\n",
      "   \n"
     ]
    }
   ],
   "source": [
    "# Now look for a solution for both linear systems -> kdv\n",
    "R = np.vstack([R1, R2])\n",
    "Ut = np.vstack([Ut1,Ut2])\n",
    "\n",
    "w = TrainSTRidge(R,Ut,lam,d_tol)\n",
    "print \"PDE derived using STRidge with L0 penalty\"\n",
    "print_pde(w, rhs_des1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
